which is in the bounds of the experimental range \(C_\mathrm {S} \simeq 0.1 - 0.12\)  for shear flows [1]}. Omitting the square root in \(\sigma _\mathrm {t}\)  we exaggerated the above \(C_\mathrm {S}\)  by \(\approx 7\%\) , if to take roughly \(\displaystyle \mathrm {v}_\tau = \frac{\mathrm {V_x}}{2}\) , that does not change positivity of our test of the entrainment law vs. the Smagorinsky constant. This justifies the setting \(\Delta y \equiv \Delta _\mathrm {S}\)  that, on other hand, suggested proportionality of the scales of turbulent velocity \(\mathrm {v_t}\)  to the driving scales \(\Delta \mathrm {V_x}\) , i.e. \(\displaystyle \frac{\mathrm {v}_\perp }{\Delta \mathrm {V_x}}\)  is independent on \(\Delta y\) .
